### 摘要

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume dependence of electromagnetic current correlators is complicated by SO(4) breaking, as well as photon zero-mode interactions. We determine finite volume corrections to the Compton scattering tensor of pions. We argue, however, that such results cannot be used to ascertain volume corrections to polarizabilities determined in lattice QCD with background field methods. Connection is lacking because small momentum expansions are not permitted in finite volume. Our argument also applies to form factors. Volume effects for background field calculations of electromagnetic moments cannot be deduced from finite volume form factors.

原文 | 英語 |
---|---|

文章編號 | 014502 |

期刊 | Physical Review D - Particles, Fields, Gravitation and Cosmology |

卷 | 77 |

發行號 | 1 |

DOIs | |

出版狀態 | 已發佈 - 2008 一月 9 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

## 指紋 深入研究「Pion polarizabilities and volume effects in lattice QCD」主題。共同形成了獨特的指紋。

## 引用此

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*77*(1), [014502]. https://doi.org/10.1103/PhysRevD.77.014502